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1. MSM07G8_RESBK_Ch02_061-069.pe 1/2/06 12:27 PM Page 62
Name Date Class
LESSON Practice B
2-8 Solving Two-Step Equations
Write and solve a two-step equation to answer the following
questions.
1. The school purchased baseball 2. Carla runs 4 miles every day. She
equipment and uniforms for a total jogs from home to the school track,
cost of $1762. The equipment costs 3
which is ᎏᎏ mile away. She then runs
4
$598 and the uniforms were $24.25 1
laps around the ᎏᎏ-mile track. Carla
4
each. How many uniforms did the
school purchase? then jogs home. How many laps
does she run at the school?
x ‫ # ؍‬of uniforms x ‫ # ؍‬of laps
3 1 3
4 ‫ ؍‬ᎏ ᎏ ؉ ᎏᎏ x ؉ ᎏ ᎏ
1762 ‫52.42 ؉ 895 ؍‬x 4 4 4
6 6 6 1
4 ؊ ᎏ ᎏ ‫ ؍‬ᎏᎏ ؊ ᎏ ᎏ ؉ ᎏᎏ x
1762 ؊ 598 4 4 4 4
5 1
ᎏ ᎏ ‫ ؍‬ᎏᎏ x
‫52.42 ؉ 895 ؊ 895 ؍‬x 2 4
1164 ‫52.42 ؍‬x ͑͒ ͑ ͒
5 1
4 ᎏᎏ ‫ ؍‬ᎏᎏ x 4
2 4
1164 24.25x
ᎏᎏ ‫ ؍‬ᎏᎏ 10 ‫ ؍‬x
24.25 24.25
48 ‫ ؍‬x
Solve.
a؉5 x؉2 y؊4 k؉1
3. ᎏᎏ ‫21 ؍‬
3 4. ᎏᎏ ‫2؊ ؍‬
4 5. ᎏᎏ ‫3؊ ؍‬
6 6. ᎏᎏ ‫7 ؍‬
8
a = 31 x = –10 = –14 k = 55
x 1
7. 0.5x ؊ 6 ‫4؊ ؍‬ 8. ᎏᎏ ؉ 3 ‫4؊ ؍‬
2
9. ᎏᎏn ؉ 3 ‫6 ؍‬
5
10. 2a ؊ 7 ‫9 ؊ ؍‬
x‫4؍‬ x ‫41؊ ؍‬ n ‫51 ؍‬ a ‫1؊ ؍‬
3x ؊ 1 ؊4w ؉ 5
11. ᎏᎏ ‫2 ؍‬
4
12. ؊7.8 ‫2 ؉ 4.4 ؍‬r 13. ᎏᎏ ‫7؊ ؍‬
؊3
14. 1.3 ؊ 5r ‫4.7 ؍‬
x‫3؍‬ r ‫1.6؊ ؍‬ w ‫4؊ ؍‬ r ‫22.1؊ ؍‬
15. A phone call costs $0.58 for the first 3 minutes and $0.15
for each additional minute. If the total charge for the call
was $4.78, how many minutes was the call? 31 minutes
16. Seventeen less than four times a number is twenty-seven.
Find the number. 11
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